A photograph has a length that is inches longer than its width, x. So its area is given by the expression square inches. If the area of the photograph is square inches, what is the length of the photograph?

The width is 10 inches.

x(x + 3) = 70

x² + 3x = 70

Subtract 70 from both sides.

x² + 3x - 70 = 0

Factor the trinomial

(x - 7)(x + 10) = 0

Set each equal to zero.

x = - 7, - 10

Distance can't be negative so x = 7 is the right one. Now we plug in for the length (x + 3)

x + 3

7 + 3

10

Step-by-step explanation:

answer: 1, 3 and 5 are correct

step-by-step explanation:

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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